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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 179 · 40 sums
TalentJR

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

NameDateTime takenScore ___ / 40
  1. 1.Solve: 3(t − 3) = t + 11. What is t?
  2. 2.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  3. 3.What is ∛2197? =
  4. 4.What is the value of 2⁵ × 2⁻²? =
  5. 5.What is the value of 2¹ × 2⁻²? =
  6. 6.A square garden has an area of 484 square m. How long is each side (in m)?
  7. 7.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  8. 8.Use (a + b)(a − b) = a² − b² to find 58 × 42.
  9. 9.Find the compound interest on ₹47400 at 5% per year for 1 year, compounded every year (in ₹).
  10. 10.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  11. 11.Use (a − b)² = a² − 2ab + b² to find 14².
  12. 12.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  13. 13.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  14. 14.What is the value of 2¹⁴? =
  15. 15.What is the smallest whole number by which 960 must be divided to get a perfect square?
  16. 16.Which of these is a perfect square? (a) 169 (b) 177 (c) 178
  17. 17.8.5 × 10⁶ =
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.Find the compound interest on ₹33600 at 5% per year for 1 year, compounded every year (in ₹).
  20. 20.Find the compound interest on ₹18000 at 15% per year for 2 years, compounded every year (in ₹).
  21. 21.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  22. 22.A cuboid is 12 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  23. 23.What is the value of 10¹ × 10⁻²? =
  24. 24.What is the value of 10¹ × 10⁻⁵? =
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.What is the smallest whole number by which 384 must be divided to get a perfect square?
  27. 27.What is ∛4096? =
  28. 28.What amount will ₹38100 grow to in 1 year at 8% per year compound interest (in ₹)?
  29. 29.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  30. 30.A room is 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.Which of these is a perfect cube? (a) 1477 (b) 1331 (c) 1406
  32. 32.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  33. 33.Solve: 3(x − 4) = x + 8. What is x?
  34. 34.Write 6⁹ × 6³ as a single power 6ⁿ. What is n?
  35. 35.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
  36. 36.How many whole numbers lie between 45² and 46²?
  37. 37.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  38. 38.Write 5.7 × 10⁻³ as a decimal. =
  39. 39.Write 25,000 in standard form as 2.5 × 10ⁿ. What is n?
  40. 40.Write 3¹⁴ ÷ 3⁹ as a single power 3ⁿ. What is n?

Answer key

  1. 10
  2. 10
  3. 13
  4. 8
  5. 1/2
  6. 22
  7. 2
  8. 2436
  9. 2370
  10. 9
  11. 196
  12. 3
  13. 4
  14. 16384
  15. 15
  16. 169
  17. 8500000
  18. 216
  19. 1680
  20. 5805
  21. 5
  22. 358
  23. 1/10
  24. 1/10000
  25. 8
  26. 6
  27. 16
  28. 41148
  29. 150
  30. 110
  31. 1331
  32. 4
  33. 10
  34. 12
  35. 64
  36. 90
  37. 36
  38. 0.0057
  39. 4
  40. 5

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